Respuesta :

Given:

[tex]\begin{gathered} sin\theta=\frac{1}{\sqrt{2}} \\ \theta=\frac{\pi}{4} \end{gathered}[/tex]

Find: the another equivalent value of

[tex]\theta[/tex]

Explanation:

[tex]\begin{gathered} sin\frac{\pi}{4}=\frac{1}{\sqrt{2}} \\ sin(\pi-\frac{\pi}{4})=\frac{1}{\sqrt{2}} \\ sin\frac{4\pi-\pi}{4}=\frac{1}{\sqrt{2}} \\ sin\frac{3\pi}{4}=\frac{1}{\sqrt{2}} \end{gathered}[/tex]

Final answer: The required answer is

[tex]\frac{3\pi}{4}[/tex]